Experimental Number Theory by Fernando Rodriguez Villegas

Experimental Number Theory

byFernando Rodriguez Villegas

Paperback | June 13, 2007

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This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal of the text is to show how the computer can be used as a tool for research in number theory through numerical experimentation. The book containsmany examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, along with exercises and selected solutions. Sample programs are written in GP, the scripting language for the computational packagePARI, and are available for download from the author's website.

About The Author

Fernando Villegas is in the Department of Mathematics, University of Texas at Austin.
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Title:Experimental Number TheoryFormat:PaperbackDimensions:232 pages, 9.21 × 6.14 × 0.55 inPublished:June 13, 2007Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199227306

ISBN - 13:9780199227303

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Table of Contents

Preface1. Basic examples2. Reciprocity3. Positive definite binary quadratic forms4. Sequences5. Combinatorics6. p-adic numbers7. Polynomials8. Remarks on selected exercisesReferencesIndex